Test 1: $\frac x  {x-1}$
Test 2: $\frac {x-1} x$
Test 3: $\frac{x+1}{x-1}$
Test 4: $\frac {x+1}  {x-1}$
Test 5: $x / (x-1)$
Test 6: $(x-1) /x$
Test 7: $(x+1)  /(x-1)$
Test 8: $(x+1)/ (x-1)$

Result 1: $x/(x-1)$
Result 2: $(x-1)/x$
Result 3: $(x+1)/(x-1)$
Result 4: $(x+1)/(x-1)$
Result 5: $\frac x {x-1}$
Result 6: $\frac {x-1} x$
Result 7: $\frac{x+1}{x-1}$
Result 8: $\frac{x+1}{x-1}$
